Final answer:
To find the quotient of (x + x - 20) ÷ (x - 4), we simplify the numerator and use long division, giving us a quotient of x + 5, which corresponds to option B.
Step-by-step explanation:
To divide the polynomial (x + x - 20) by (x - 4), we first simplify the numerator to 2x - 20. Using long division, we divide 2x by x to get 2, and then multiply 2 by (x - 4), giving us 2x - 8. We subtract this from 2x - 20, leaving us with -12. Dividing -12 by x gives us 0, but since we need to divide by (x - 4), we take -12 and divide it by -4, resulting in +3. The quotient, when combining these results, is (2 + 3), or x + 5.
The correct answer is choice B, x + 5. Remember, whatever operations you perform, they must be done on both sides of the equation to maintain equality. All other given examples involve different mathematical procedures not directly related to this division problem.